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Simplifying (8z + 12x) + (2z + 7x) = 0 Reorder the terms: (12x + 8z) + (2z + 7x) = 0 Remove parenthesis around (12x + 8z) 12x + 8z + (2z + 7x) = 0 Reorder the terms: 12x + 8z + (7x + 2z) = 0 Remove parenthesis around (7x + 2z) 12x + 8z + 7x + 2z = 0 Reorder the terms: 12x + 7x + 8z + 2z = 0 Combine like terms: 12x + 7x = 19x 19x + 8z + 2z = 0 Combine like terms: 8z + 2z = 10z 19x + 10z = 0 Solving 19x + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10z' to each side of the equation. 19x + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 19x + 0 = 0 + -10z 19x = 0 + -10z Remove the zero: 19x = -10z Divide each side by '19'. x = -0.5263157895z Simplifying x = -0.5263157895z
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